Answer:
Area = 12.82 miles²
Step-by-step explanation:
Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,
Area = ![\frac{1}{2}ab[\text{sin(C)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dab%5B%5Ctext%7Bsin%28C%29%7D%5D)
By substituting the values of sides a, b and the angle C,
Area = ![\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%285.7%5Ctimes%209.3%29%5B%5Ctext%7Bsin%7D%2814%5E%7B%5Ccirc%7D%29%5D)
= 12.82 square miles
Answer:
Option C. 
Step-by-step explanation:
we know that
The equation of the parent function f(x) (red graph) is

This is a vertical parabola open upward
The vertex is the point (0,0) (the origin)
The function g(x) (blue graph) is a vertical parabola open upward
The vertex is the point (-5,0)
The transformation of f(x) to g(x) has the following rule
f(x) -----> g(x)
(0,0) ----> (-5,0)
(x,y) ----> (x-5,y)
That means----> The transformation is a translation of 5 units at left
therefore
The equation of g(x) is

A. <u>False.</u> The range of
is the set of values it can produce. In the table,
produces values from
to
. However, the range of all real numbers is all rational numbers, basically from
to
, not just a few numbers in-between. So, the range of
is not all real numbers.
B. <u>True.</u> Looking at the table, when
,
. This is another way of saying that
, which is what B is saying.
C. <u>True.</u> The domain of
is the set of values of
that produce some output in
. Looking at the table, all of the
values listed on it are in the set
, which is what C is saying.
D. <u>False.</u> Looking at the table, when
,
. This is another way of saying that
, which is <em>not </em>what B is saying.
Answer:JT=15
Step-by-step explanation:
Make a drawing of the situation:
Recalling the tangent trigonometric relationship, if the angle of inclination is A, then:

Use the inverse tangent function to find the value of A:

Use a calculator to find the numerical value of the inverse tangent of 6:

Therefore, the angle of inclination of the Sun is approximately 80.5°.